K13n3716
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Polynomial invariants
| Jones polynomial | Data:K13n3716/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+10 t^3-22 t^2+34 t-39+34 t^{-1} -22 t^{-2} +10 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3716/Conway Polynomial |
| Determinant | 175 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -4 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +z^6-5 z^4 a^{-2} -4 z^4 a^{-4} +4 z^4 a^{-6} +3 z^4-2 z^2 a^{-2} +z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +2 z^2+2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +8 z^{10} a^{-2} +14 z^{10} a^{-4} +6 z^{10} a^{-6} +10 z^9 a^{-1} +5 z^9 a^{-3} -z^9 a^{-5} +4 z^9 a^{-7} -18 z^8 a^{-2} -47 z^8 a^{-4} -20 z^8 a^{-6} +z^8 a^{-8} +8 z^8+4 a z^7-26 z^7 a^{-1} -31 z^7 a^{-3} -9 z^7 a^{-5} -8 z^7 a^{-7} +a^2 z^6+15 z^6 a^{-2} +75 z^6 a^{-4} +43 z^6 a^{-6} +4 z^6 a^{-8} -20 z^6-9 a z^5+23 z^5 a^{-1} +47 z^5 a^{-3} +26 z^5 a^{-5} +14 z^5 a^{-7} +3 z^5 a^{-9} -2 a^2 z^4-5 z^4 a^{-2} -51 z^4 a^{-4} -42 z^4 a^{-6} -11 z^4 a^{-8} +13 z^4+3 a z^3-9 z^3 a^{-1} -23 z^3 a^{-3} -21 z^3 a^{-5} -17 z^3 a^{-7} -7 z^3 a^{-9} +2 z^2 a^{-2} +11 z^2 a^{-4} +12 z^2 a^{-6} +6 z^2 a^{-8} -3 z^2+z a^{-1} +3 z a^{-3} +3 z a^{-5} +5 z a^{-7} +4 z a^{-9} +2 a^{-4} - a^{-8} }[/math] |
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